document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=73071>Question 73071</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use the geometric sequence of numbers 1,2,4,8,... to find the following What is r, ratio between 2 consecutive terms? show work<BR>\n" );
document.write( "Using the formula for the nth term of a geometric sequence, what is the 24th term? show work<BR>\n" );
document.write( "Using the formula for the sum of a geometric series, what is the sum of the first 10 terms? show work </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #52332 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=52332\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The ratio r is the factor to get from term to term. So <BR>\n" );
document.write( "r=nth term/(n-1) term<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=8%2F4=2 ALIGN=MIDDLE  ALT=\"r=8%2F4=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=2 ALIGN=MIDDLE  ALT=\"r=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The sequence doubles each term, so the sequence is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5En ALIGN=MIDDLE  ALT=\"2%5En\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So the 24th term is <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E23=8388608 ALIGN=MIDDLE  ALT=\"2%5E23=8388608\"   DISABLED_style= \"max-width:90%; height:auto;\" >(n=23 zero is the 1st term)<BR>\n" );
document.write( "The sum of a geometric series is <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S=a%281-r%5En%29%2F%281-r%29 ALIGN=MIDDLE  ALT=\"S=a%281-r%5En%29%2F%281-r%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >where a=1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S=%281-2%5E10%29%2F%281-2%29 ALIGN=MIDDLE  ALT=\"S=%281-2%5E10%29%2F%281-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S=%281-1024%29%2F%28-1%29 ALIGN=MIDDLE  ALT=\"S=%281-1024%29%2F%28-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S=1023 ALIGN=MIDDLE  ALT=\"S=1023\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So the sum of the first ten terms is 1,023\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
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